报告问题 (Title)：Radial basis function methods for PDEs with integral fractional Laplacian(带有分数阶拉普拉斯的偏微分方程的径向基函数法)

报告人 (Speaker)： 张中强 副教授（美国伍斯特理工学院）

报告时间 (Time)：2022年11月4日(周五) 10：00-11：30

报告所在 (Place)：腾讯聚会 426-278-452

约请人(Inviter)：李常品、蔡敏

主理部分：理学院数学系

报告摘要：We consider radial basis function methods for fractional PDEs on general bounded domains. Efficient computation of such problems with high accuracy on bounded domains is challenging, due to the intrinsic singularity and nonlocal nature of the fractional Laplacian. We develop a numerical method that can accurately compute the fractional Laplacian of any radial basis function. We also present a flexible formulation for collocation. We present several examples to compare our method with some existing methods and illustrate the efficiency in two dimensions.